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4 years ago

If the perimeter of the rectangle is 56ft what is the length and width

Mathematics

1 answer:

Minchanka [31]4 years ago

5 0

Answer:

Width=8, Length= 20.

Step-by-step explanation:

The equation can be set up as :P=2L+2W

Insert the values : 56=2L+2(8)

Simplify: 2L=56-16=40

Answer :L=20

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From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the d

mr_godi [17]

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

4 0

3 years ago

Vertex of y=2x^2+4x-6

borishaifa [10]

Answer:

(-4) (0)

Step-by-step explanation:

6 0

3 years ago

If the gradient of a line joining the points (-2, 6) and (5, b) is 14. Find the value of b.

babunello [35]

Answer:

b = 104

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

14 = b - 6/5-(-2)

14 = b - 6/5+2

14 = b-6/7

Cross multiply

b-6 = 14 * 7

b - 6 = 98

b = 98 + 6

b = 104

3 0

3 years ago

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

1. Subsittute n = 6 into the equation:

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

2. Substitute n = 5 into the equation:

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

3. Substitute n = 4 into the equation, subsitute the known values and solve for $a_1$

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

3 years ago

Geometry help please!

photoshop1234 [79]

Algebra is number 3 - You have subtracted the measure of angle HKI from the equation.

Transitive property of equality is number 2 - Because both pairs of angles equal 180 degrees, you can set them equal to each other.

Definition of congruence is number 4 - The congruence symbol is in the equation, which tells you that the two angles are congruent.

Angles forming a linear pair sum to 180 degrees is number 1 - 180 degrees is in the equations given and the angles all form linear pairs.

Hope this helps!! :)

8 0

3 years ago